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244140320 = 2551525877
BaseRepresentation
bin11101000110101…
…00100100100000
3122000101121120002
432203110210200
5444444442240
640120435132
76023105234
oct1643244440
9560347502
10244140320
111158a1266
1269918aa8
133b770538
14245d25c4
1516677d15
hexe8d4920

244140320 has 24 divisors (see below), whose sum is σ = 576781884. Its totient is φ = 97656064.

The previous prime is 244140317. The next prime is 244140359. The reversal of 244140320 is 23041442.

It can be written as a sum of positive squares in 2 ways, for example, as 234579856 + 9560464 = 15316^2 + 3092^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 244140292 and 244140301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 762779 + ... + 763098.

Almost surely, 2244140320 is an apocalyptic number.

244140320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244140320 is an abundant number, since it is smaller than the sum of its proper divisors (332641564).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

244140320 is a wasteful number, since it uses less digits than its factorization.

244140320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525892 (or 1525884 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 244140320 is about 15624.9902399970. The cubic root of 244140320 is about 624.9997397332. Note that the first 3 decimals are identical.

Adding to 244140320 its reverse (23041442), we get a palindrome (267181762).

The spelling of 244140320 in words is "two hundred forty-four million, one hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1525877 3051754 6103508 7629385 12207016 15258770 24414032 30517540 48828064 61035080 122070160 244140320